a) A curve \( y^2 \) = 8x changes its abscissa and ordinate at the same rate. The ordinate is double of its abscissa. Justify it with calculation. b)…
Class 12 Mathematics · 2081 · Solved Question with Answer
a) A curve\( y^2 \) = 8x changes its abscissa and ordinate at the same rate. The ordinate is double of its abscissa. Justify it with calculation.
b) The integral of \( \int \frac{dx}{a + b\cos x} \) depends upon the values of a and b. Explain.
c) An exact differential equation have always the mathematical form like M(x, y) dx + N(x, y) dy = 0. Take a simple example to justify the statement with characteristics of M(x, y) and N(x, y).